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Finding the Third Proportional to 39,982.50 and 59,753.75

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Solution

The third proportional to 39,982.50 and 59,753.75 is: 89,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,982.50 : 59,753.75 = 59,753.75 : x
  2. Step 2: Convert to fraction form
    39,982.50/59,753.75 = 59,753.75/x
  3. Step 3: Cross multiply
    39,982.50x = 59,753.75 × 59,753.75
  4. Step 4: Simplify right side
    39,982.50x = 3,570,510,639.06
  5. Step 5: Solve for x
    x = 3,570,510,639.06/39,982.50
  6. Step 6: Final answer
    x = 89,301.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.